Information on Result #679177
Linear OA(464, 16419, F4, 11) (dual of [16419, 16355, 12]-code), using construction X applied to Ce(10) ⊂ Ce(5) based on
- linear OA(457, 16384, F4, 11) (dual of [16384, 16327, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(429, 16384, F4, 6) (dual of [16384, 16355, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(464, 16419, F4, 2, 11) (dual of [(16419, 2), 32774, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(464, 16419, F4, 3, 11) (dual of [(16419, 3), 49193, 12]-NRT-code) | [i] | ||
| 3 | Digital (53, 64, 16419)-net over F4 | [i] | ||
| 4 | Linear OOA(464, 8209, F4, 2, 11) (dual of [(8209, 2), 16354, 12]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(464, 5473, F4, 3, 11) (dual of [(5473, 3), 16355, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(464, 3283, F4, 11, 11) (dual of [(3283, 11), 36049, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |